Live analysis

13,022

13,022 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

13,022 (thirteen thousand twenty-two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 17 × 383. Written other ways, in hexadecimal, 0x32DE.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,010 13,011 13,012 13,013 13,014 13,015 13,016 13,017 13,018 13,019 13,020 13,021 13,022 13,023 13,024 13,025 13,026 13,027 13,028 13,029 13,030 13,031 13,032 13,033 13,034

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 14 bits
Reversed: 22,031
Recamán's sequence: a(48,231) = 13,022
Square (n²): 169,572,484
Cube (n³): 2,208,172,886,648
Divisor count: 8
σ(n) — sum of divisors: 20,736
φ(n) — Euler's totient: 6,112
Sum of prime factors: 402

Primality

Prime factorization: 2 × 17 × 383

Nearest primes: 13,009 (−13) · 13,033 (+11)

Divisors & multiples

All divisors (8)

1 · 2 · 17 · 34 · 383 · 766 · 6511 (half) · 13022

Aliquot sum (sum of proper divisors): 7,714

Factor pairs (a × b = 13,022)

1 × 13022

2 × 6511

17 × 766

34 × 383

First multiples

13,022 · 26,044 (double) · 39,066 · 52,088 · 65,110 · 78,132 · 91,154 · 104,176 · 117,198 · 130,220

Sums & aliquot sequence

As consecutive integers: 3,254 + 3,255 + 3,256 + 3,257 758 + 759 + … + 774 158 + 159 + … + 225

Aliquot sequence: 13,022 → 7,714 → 6,686 → 3,346 → 2,414 → 1,474 → 974 → 490 → 536 → 484 → 447 → 153 → 81 → 40 → 50 → 43 → 1 — unresolved within range

Continued fraction of √n

√13,022 = [114; (8, 1, 3, 2, 2, 1, 1, 11, 2, 2, 1, 12, 1, 2, 2, 11, 1, 1, 2, 2, 3, 1, 8, 228)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand twenty-two
Ordinal: 13022nd
Binary: 11001011011110
Octal: 31336
Hexadecimal: 0x32DE
Base64: Mt4=
One's complement: 52,513 (16-bit)
Scientific notation: 1.3022 × 10⁴
As a duration: 13,022 s = 3 hours, 37 minutes, 2 seconds

In other bases

ternary (3) 122212022

quaternary (4) 3023132

quinary (5) 404042

senary (6) 140142

septenary (7) 52652

nonary (9) 18768

undecimal (11) 9869

duodecimal (12) 7652

tridecimal (13) 5c09

tetradecimal (14) 4a62

pentadecimal (15) 3cd2

As an angle

13,022° = 36 × 360° + 62°

62° ≈ 1.082 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιγκβʹ
Mayan (base 20): 𝋡·𝋬·𝋫·𝋢
Chinese: 一萬三千零二十二
Chinese (financial): 壹萬參仟零貳拾貳

In other modern scripts

Eastern Arabic ١٣٠٢٢ Devanagari १३०२२ Bengali ১৩০২২ Tamil ௧௩௦௨௨ Thai ๑๓๐๒๒ Tibetan ༡༣༠༢༢ Khmer ១៣០២២ Lao ໑໓໐໒໒ Burmese ၁၃၀၂၂

Digit at this position in famous constants

π — Pi (π): Digit 13,022 = 9
e — Euler's number (e): Digit 13,022 = 7
φ — Golden ratio (φ): Digit 13,022 = 6
√2 — Pythagoras's (√2): Digit 13,022 = 2
ln 2 — Natural log of 2: Digit 13,022 = 5
γ — Euler-Mascheroni (γ): Digit 13,022 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13022, here are decompositions:

13 + 13009 = 13022
19 + 13003 = 13022
43 + 12979 = 13022
103 + 12919 = 13022
181 + 12841 = 13022
193 + 12829 = 13022
199 + 12823 = 13022
223 + 12799 = 13022

Showing the first eight; more decompositions exist.

Unicode codepoint

㋞

Circled Katakana So

U+32DE

Other symbol (So)

UTF-8 encoding: E3 8B 9E (3 bytes).

Lookup U+32DE on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0032DE

RGB(0, 50, 222)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.222.

Address: 0.0.50.222
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.50.222

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 13,022 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -35¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +2¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -34¢)

Position in π

The digit sequence 13022 first appears in π at position 107,896 of the decimal expansion (the 107,896ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 13022 on Pi Search ↗